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Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20. Since they have not enough money to pay the custom duties, the first pays 5 casks of wine and 40 francs, and the second pays 2 casks of wine and receives 40 francs in change. What is the price of each cask of wine and the duty on it?
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz., with an average of 12.1 oz. If the contents in the population of all cans follow a normal distribution, what is the probability tha..
Describe the two methods to simplify a complex fraction. Which of the two methods for simplifying a complex fraction is simpler? Explain your reasoning.
calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass.
The time taken by a randomly selected applicant for a morgage to fill out a certain form has a normal distribution with mean value of 10 minutes and standard deviation of 60 minutes
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
Suppose P(t) is the monthly payment, in dollars, on a mortgage which will take t years to pay off. What are the units of P'(t)? What is the practical meaning of P'(t)? What is its sign?
The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 second..
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
Let the sum from n=m to infinity of a_n be a formal series of real numbers. If this series is absolutely convergent, then it is also conditionally convergent.
The dean decides the class should have 22 women and 15 men. How many possible classes are there now? Compare the number of possible classes to the solution to (a).
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